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Finding the Fourth Proportional to 3,937.48, 5,859.74 and 3,806.24

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Solution

The fourth proportional to 3,937.48, 5,859.74 and 3,806.24 is: 5,664.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.48 : 5,859.74 = 3,806.24 : x
  2. Step 2: Convert to fraction form
    3,937.48/5,859.74 = 3,806.24/x
  3. Step 3: Cross multiply
    3,937.48x = 5,859.74 × 3,806.24
  4. Step 4: Simplify right side
    3,937.48x = 22,303,576.78
  5. Step 5: Solve for x
    x = 22,303,576.78/3,937.48
  6. Step 6: Final answer
    x = 5,664.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.